Mathematics · Waves and Acoustics
A sonometer wire 'A' of diameter 'd' under tension 'T' having material density ρ1 vibrates with a fundamental frequency 'n'. Another wire 'B' made of a different material vibrates with the same fundamental frequency 'n' under a tension of 2T and has a diameter of 2d. What will be the density ρ2 of wire 'B' compared to ρ1?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1ρ2 = 2ρ1
- 2ρ2 = ρ1
- 3ρ2 = ρ12
- 4ρ2 = ρ14✓
Correct answer
ρ2 = ρ14
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